Number classification is the process of grouping or categorising numbers based on their properties and characteristics. In GCSE Mathematics or high school, numbers are classified into different categories based on their properties: prime, composite, rational, irrational, natural, whole, integers, and real numbers.

Here are some examples of each category of numbers:

**A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. For example, prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37.**

**Prime Numbers:****A composite number is a positive integer with at least one positive divisor other than 1 and itself. For example, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, and 21 are composite numbers.**

**Composite Numbers:****A rational number is a number that can be expressed as a ratio of two integers where the denominator is not zero. For example, 3/4, 5/8, -2/3, and 1 are rational numbers.**

**Rational Numbers:****An irrational number is a number that cannot be expressed as a ratio of two integers. It is a non-repeating, non-terminating decimal. For example, √2, √3, and π are irrational numbers.**

**Irrational Numbers:****Natural numbers are counting numbers that start from 1 and go to infinity. For example, natural numbers are 1, 2, 3, 4, 5, and so on.**

**Natural Numbers:****Whole numbers are natural numbers and zero. For example, whole numbers are 0, 1, 2, 3, 4, etc.**

**Whole Numbers:****Integers are whole numbers and their negative counterparts. For example, -3, -2, -1, 0, 1, 2, and 3 are integers.**

**Integers:****Real numbers can be represented on a number line. They include both rational and irrational numbers. For example, -3.5, 0, √2, and π are real numbers.**

**Real Numbers:**Understanding number classification is important in mathematics because it helps solve problems and apply mathematical concepts.

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